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Finding the Fourth Proportional to 314,656.14, 434,223.33 and 171,416.28

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Solution

The fourth proportional to 314,656.14, 434,223.33 and 171,416.28 is: 236,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,656.14 : 434,223.33 = 171,416.28 : x
  2. Step 2: Convert to fraction form
    314,656.14/434,223.33 = 171,416.28/x
  3. Step 3: Cross multiply
    314,656.14x = 434,223.33 × 171,416.28
  4. Step 4: Simplify right side
    314,656.14x = 74,432,947,917.81
  5. Step 5: Solve for x
    x = 74,432,947,917.81/314,656.14
  6. Step 6: Final answer
    x = 236,553.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.